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12990720 = 283517199
BaseRepresentation
bin110001100011…
…100100000000
3220102222220210
4301203210000
511311200340
61142234120
7215263551
oct61434400
926388823
1012990720
117373136
124425940
1328cac22
141a22328
151219180
hexc63900

12990720 has 144 divisors (see below), whose sum is σ = 44150400. Its totient is φ = 3244032.

The previous prime is 12990701. The next prime is 12990749. The reversal of 12990720 is 2709921.

It is a super-2 number, since 2×129907202 = 337517612236800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65181 + ... + 65379.

It is an arithmetic number, because the mean of its divisors is an integer number (306600).

Almost surely, 212990720 is an apocalyptic number.

12990720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12990720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22075200).

12990720 is an abundant number, since it is smaller than the sum of its proper divisors (31159680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12990720 is a wasteful number, since it uses less digits than its factorization.

12990720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 12990720 is about 3604.2641412638. The cubic root of 12990720 is about 235.0775057462.

The spelling of 12990720 in words is "twelve million, nine hundred ninety thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 199 204 240 255 256 272 320 340 384 398 408 480 510 544 597 640 680 768 796 816 960 995 1020 1088 1194 1280 1360 1592 1632 1920 1990 2040 2176 2388 2720 2985 3184 3264 3383 3840 3980 4080 4352 4776 5440 5970 6368 6528 6766 7960 8160 9552 10149 10880 11940 12736 13056 13532 15920 16320 16915 19104 20298 21760 23880 25472 27064 31840 32640 33830 38208 40596 47760 50745 50944 54128 63680 65280 67660 76416 81192 95520 101490 108256 127360 135320 152832 162384 191040 202980 216512 254720 270640 324768 382080 405960 433024 541280 649536 764160 811920 866048 1082560 1299072 1623840 2165120 2598144 3247680 4330240 6495360 12990720